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542314413245 = 51119737109057
BaseRepresentation
bin1111110010001000111…
…01010011110010111101
31220211210211020121212002
413321010131103302331
532341124442210440
61053045155552045
754116025311543
oct7710435236275
91824724217762
10542314413245
11199aa3391460
128912bbbb625
133c1a8850a17
141c368d31d93
15e1908d7115
hex7e44753cbd

542314413245 has 32 divisors (see below), whose sum is σ = 757541220480. Its totient is φ = 368533463040.

The previous prime is 542314413241. The next prime is 542314413247.

542314413245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542314413245 - 22 = 542314413241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542314413199 and 542314413208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542314413241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3478244 + ... + 3630813.

It is an arithmetic number, because the mean of its divisors is an integer number (23673163140).

Almost surely, 2542314413245 is an apocalyptic number.

542314413245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542314413245 is a deficient number, since it is larger than the sum of its proper divisors (215226807235).

542314413245 is a wasteful number, since it uses less digits than its factorization.

542314413245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109165.

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 542314 and 413245, that added together give a palindrome (955559).

The spelling of 542314413245 in words is "five hundred forty-two billion, three hundred fourteen million, four hundred thirteen thousand, two hundred forty-five".

Divisors: 1 5 11 19 55 73 95 209 365 803 1045 1387 4015 6935 15257 76285 7109057 35545285 78199627 135072083 390998135 518961161 675360415 1485792913 2594805805 5708572771 7428964565 9860262059 28542863855 49301310295 108462882649 542314413245